Least Common Multiple of 3065/815, 7792/425
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3065/815, 7792/425 quickly i.e. 4776496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3065/815, 7792/425 is 4776496.
LCM(3065/815, 7792/425) = 4776496
LCM of 3065/815, 7792/425
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3065/815,7792/425
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 3065,7792
Least Common Multiple of Numerators i.e. LCM of 3065,7792 is 23882480.
GCF of Denominators means GCF of 815,425 as per the given fractions.
GCF of 815,425 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3065,7792
LCM of Fractions 3065/815,7792/425 is 4776496
Given numbers has no common factors except 1. So, there LCM is their product i.e 23882480
Least Common Multiple of 3065,7792 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 3065,7792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3065,7792) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3065,7792) x common factors =1 x 1 = 1
LCM(3065,7792) = ( 3065 × 7792 ) / 1
LCM(3065,7792) = 23882480 / 1
LCM(3065,7792) = 23882480
Lets's calculate GCF of 815,425
| 5 | 815, 425 |
| 163, 85 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23882480/5
Therefore the LCM of Fractions 3065/815,7792/425 is 4776496